Answer:
67/18
Step-by-step explanation:
Find common denominator:
7 9/54 - 3 24/54
Convert to improper fraction
387/54 - 186/54
201/54
67/18
Answer:
3 15/18
Step-by-step explanation:
We start by looking at the problem, and by trying to change the denominator by finding out what number than can both go into 6 and 9.
6 x 3 = 18 9 x 2 = 18
We then change the denominator to 18.
Next, we change the whole number into a fraction. If we convert 2 whole numbers into 7 1/18, we get 5 37/18. If we convert 1 into 3 4/18, we get 2 22/18.
If we then subtract the whole numbers and fractions, the answer is
3 15/18. (It can not simplify).
What is the least possible degree of a polynomial that has roots -5, 1 + 4i, and -4i?
3
2
5
4
The least possible degree of polynomial is 2
given f(x)=2x-4 and g(x)=x213, determine gf[x]]
Step-by-step explanation:
you have to substitute the function g(x) where there's x in the function f(x)
gf(x)=2(x213)-4
if that's x two thirteen then you can multiply the 2 outside the brackets by it
giving you a final answer of
gf(x)=426x-4
hope it helps and sorry if am wrong
Determine the area of the given parallelogram with length 11 and altitude five
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Answer:
55 square units
Step-by-step explanation:
The area of a parallelogram is the product of base length and height:
A = bh
A = (11)(5) = 55 . . . area of the given parallelogram in square units
Find f^-1 for the function f(x)=(x-10)^3+4
Answer:
f^(-1)(x)=(x-4)^(1/3)+10
Step-by-step explanation:
So to find the inverse we need to first solve the equation y=(x-10)^3+4 for x.
Subtract 4 on both sides:
y-4=(x-10)^3
Cube root (or raise both sides to 1/3 power):
(y-4)^(1/3)=x-10
Add x on both sides:
(y-4)^(1/3)+10=x
Swap x and y:
(x-4)^(1/3)+10=y
Symmetric property of equality:
y=(x-4)^(1/3)+10
So f^(-1)(x)=(x-4)^(1/3)+10.
Your calculator is showing a result of 248.592.
What is this to the nearest whole number?
Factor 60y-90-20X to identify the equivalent expressions.
Choose 2 answers:
A) 5(14y−16−4x)
B) 2(30−45−10)
C) 5(12y−18−4x)
D) 10(6y−9−2x)
Please I need help :)
Find the measure of the missing angles in the regular polygon below.
Step-by-step explanation:
First, we can see that the angles inside the polygon form a full circle, as it goes fully around. Therefore, the sum of the angles around the center of the circle (such as m < 7) is 360 degrees. Since it is a regular polygon, and the lines are going from the center to its corners, the 6 angles directly surrounding the center are equal.
Each angle is therefore 360/6 = 60 degrees, so m<7 is 60 degrees.
For m<8, we can see that a line bisects one of the 6 angles surrounding the center. Therefore, m<8 is 1/2 of the angle it bisects, which is equal to 360/6 = 60 degrees, and m<8 = 60/2 = 30 degrees
Finally, we can see that there are 6 sides of the polygon. For a polygon with n number of sides, the sum of its interior angles is equal to (n-2) * 180. Here, there are 6 sides, so the sum of this polygon's interior angles is (6-2) * 180 = 4 * 180 = 720. Because this is a regular polygon, each interior angle is the same, and because there are 6 of them, each one is 720/6 = 120 degrees. As shown in the picture, m < 9 is seemingly one-half of an interior angle, as it is bisected by a line from the center to a corner.
Therefore, m <9 = 120 /2 = 60 degrees
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)
f(x) = 7/1+x a=2
If f(x) = 7/(1 + x), then
f (2) = 7/3
f '(x) = -7/(x + 1)² ==> f ' (2) = -7/9
f ''(x) = 14/(x + 1)³ ==> f '' (2) = 14/27
f '''(x) = -42/(x + 1)⁴ ==> f ''' (2) = -14/27
Then the Taylor series of f(x) about a = 2 is
7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³
= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³
Write an equation that expresses the following relationship.
u varies directly with the square of p and inversely with d
In your equation, use k as the constant of proportionality.
Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
If y is inversely proportional to x, then
[tex]y\propto \dfrac{1}{x}[/tex]
It is given that u varies directly with the square of p and inversely with d. So,
[tex]u\propto \dfrac{p^2}{d}[/tex]
It can be written as:
[tex]u=k\dfrac{p^2}{d}[/tex]
Where, k is the constant of proportionality.
Therefore, the required equation is [tex]u=\dfrac{kp^2}{d}[/tex].
An employee makes a career change, her original salary was 65,000 and now it’s58,000 at her new job . What percent decrease was the salary change?
Show work
Answer:
about 21 percent
Step-by-step explanation:
What is the slope of the line that contains these points? xxx 454545 494949 535353 575757 yyy 101010 555 000 -5−5minus, 5 slope:
Answer:
-5/4
Step-by-step explanation:
Given :
x : 45, 49, 53, 57
y : 10, 5, 0, - 5
The slope of the line :
Slope = Rise / Run
y2 = - 5, y1 = 10
x2 = 57, x1 = 45
Rise = y2 - y1 = - 5 - 10 = - 15
Run = x2 - x1 = 57 - 45 = 12
The slope = Rise / Run = - 15 / 12 = - 5/4
Answer:
-1
Step-by-step explanation:
i brought the answer correct
Salma invested $8000 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $1400. As a percentage, what was the annual interest rate of her investment?
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Answer:
about 2.917%
Step-by-step explanation:
The simple interest formula can be used. Fill in the known values and solve for the unknown.
I = Prt . . . . principal P invested at rate r for t years
1400 = 8000(r)(6)
r = 1400/48000 = 7/240 = 0.0291666...
Salma's interest rate was about 2.917% per year.
Which polynomial correctly combines the like terms and puts the given polynomial in standard form? -5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5
Given:
The polynomial is:
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
To find:
The simplified form of the given polynomial in standard form.
Solution:
We have,
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
Combining the like terms, we get
[tex]=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)[/tex]
[tex]=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5[/tex]
Now, rewrite this polynomial in standard form.
[tex]=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]
Therefore, the required polynomial in standard form is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex].
Find the measure of the missing angles.
WILL GIVE BRAINLIEST
Answer:
<d = 90
<e = 46
<f = 134
Step-by-step explanation:
<d = 90 since it forms a straight line with a 90 degree angle
<e = 46 since they are vertical angles and vertical angles are equal
<f = 134 since it is a linear pair with 46 ( they add to 180) f+46 = 180
f = 180-46 f =
[tex]{\footnotesize{\bold{\textbf{\textsf{{\fcolorbox{brown}{gold}{~Brainliest~answer}}}}}}}[/tex]
See this attachment
Find the measure of the missing angles. WILL GIVE BRAINLIEST
Please help out really need it !!
Answer:
use the area formula
Step-by-step explanation:
Answer:
rounded to the nearest tenth i think its 40
Please help me this only works once
Answer:
A
Step-by-step explanation:
all can divide by 4
12/4 = 3
16/4 = 4
three cards are drawn from an ordinary desk and not replaced
find probability a.getting 3 jackets
Answer:
Assuming you meant three jacks:
1 in 5525 or else 1/5525.
Step-by-step explanation:
You start with a full deck of 52 and 4 jacks. After each draw, you reduce both the jacks and total deck by one. Your first draw would be 4/52. The next would be 3/51. The final draw would be 2/50. You multiply each fraction together as you need all of them to happen, and that is your odds of drawing 3 jacks in a row without replacement.
The ferry family rented 50 chairs for $150. Which expression can be used to find the cost per chairs.
Answer:
3$per chair
Step-by-step explanation:
50/150$=3
If 3 x 50=150
Answer:
150/50
Step-by-step explanation:
150 divided by 50 = 3
Hope this helps!
The number of bacteria in a colony increases by 10% every 2 hours. What is the overall percent increase after 4 hours?
The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.
The overall percent increase after 4 hours is 21% if the number of bacteria in a colony increases by 10% every 2 hours option (G) is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
The number of bacteria in a colony increases by 10% every 2 hours.
Let there be 100 bacteria in the starting
In the first 2 hours :
= (100×10%) + 100
= 10 + 100
= 110
Again after 2 hours:
= (110×10%) + 110
= 11 + 110
= 121
= (121 - 100)
= 21
Thus, the overall percent increase after 4 hours is 21% if the number of bacteria in a colony increases by 10% every 2 hours option (G) is correct.
Learn more about the percentage here:
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Suppose you deposit $500 in a savings account where the interest earned is compounded
continuously at a rate of 10%. How many years will it take the balance in the account to reach
$8000 (round your answer to the nearest year)?
PLEASE ANSWER. I WILL GIVE BRAINLIEST FAST
Answer:
It is a right triangle
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Please help!! Which two equations are the equations of vertical asymptotes of the function y = 5∕3 tan(3∕4x)?
A) x = 0 and x = 2π∕3
B) x = 4π∕3 and x = –4π∕3
C) x = 0 and x =4π∕3
D) x = 2π∕3 and x = –2π∕3
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Answer:
D) x = 2π∕3 and x = –2π∕3
Step-by-step explanation:
The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...
(3/4)x = ±π/2
x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D
The combined mass of 100 nickels is 500,000 milligrams. What is the mass of each nickel?
Answer:
5 grams = 500 centigrams = 5000 milligrams = 5000000 micrograms
Step-by-step explanation:
So the only correct answer in your choices is the third option, 5000 milligrams.
what are all the solutions (in exact values) to tan x = 1/4 [-π,π] ?
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Answer:
arctan(1/4)arctan(1/4) -πStep-by-step explanation:
The inverse tangent of 1/4 is an irrational number, only expressible exactly as ...
arctan(1/4)
This is a first-quadrant angle. There is a matching third-quadrant angle with the same tangent:
arctan(1/4) -π
A certain baseball team has 23 players. Only nine can be on the field at a time. Each of the nine players on the field has a distinct field position: pitcher, catcher, first baseman, second baseman, third baseman, short stop, left field, right field, or center field. Assume for the moment that every player is qualified to play every position.
Required:
How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 23 players (leaving the other field positions empty)?
Answer:
[tex]P \& C _{ways}=46ways[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=23[/tex]
Generally the pitcher or catcher field position can be filled in
23 way respectively
Where
No. ways for to fill Pitcher
[tex]P_{ways}=23 ways[/tex]
No. ways for to fill Catcher
[tex]C_{ways}=23 ways[/tex]
Therefore
Applying counting Principles
No. ways to fill both
[tex]P \& C _{ways}=23+23[/tex]
[tex]P \& C _{ways}=46ways[/tex]
Scatterplots show:
A the frequency of individual test scores.
B causal relationships between two variables.
C two scores represented as individual points on the graph.
D bars representing different variables.
Answer:
B. causal relationships between two variables
Scatterplots show causal relationships between two variables. Option B is correct.
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.
Thus, Scatterplots show causal relationships between two variables. Option B is correct.
Learn more about scatter plots here:
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Mark jogs 10 miles in 2 hours.
Come up with a ratio that shows the distance in miles to the time taken in hours. Simplify your ratio if needed
I needsddd helpppp pleaseeeeee
Answer:
5 miles / hour
Step-by-step explanation:
it is really simple :
10 miles
2 hours
=>
10 miles / 2 hours
or simplified
5 miles / hour
How many of 320 million Americans would you predict wear contact lens
Answer:
I think 40 - 60 Million Americans would wear contact lenses.
Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 20 more adult tickets than student tickets
to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets
Answer:
A= 80
Step-by-step explanation:
I'm not good at explaining my work. I sometimes can look at the problem and find the answer in 2 seconds.
